Carcass wrote:

A group can charter a particular aircraft at a ﬁxed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12.

(a) What is the ﬁxed total cost to charter the aircraft?

(b) What is the cost per person if 40 people charter the aircraft?

Math Review

Question: 15

Page: 245

Difficulty: medium

cost per person = (total cost)/(number of people)If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12.Let's start with a "word equation":

(cost per person with 36 people) = (cost per person with 40 people) + 12Let f = fixed cost (aka TOTAL cost)

We can write:

f/36 =

f/40 + 12

Multiply both sides by 360 to get: 10f = 9f + 4320

Subtract 9f from both sides:

f = 4320(a) What is the ﬁxed total cost to charter the aircraft?The fixed cost =

$4320(b) What is the cost per person if 40 people charter the aircraft?cost per person = $4320/40 =

$108Cheers,

Brent

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Brent Hanneson – Creator of greenlighttestprep.com

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